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31314440220 = 2235711325839
BaseRepresentation
bin11101001010011111…
…000111000000011100
32222211100122101101020
4131022133013000130
51003112444041340
622215145044140
72156000231040
oct351237070034
988740571336
1031314440220
111230a204468
12609b186650
132c507b798b
141730c48020
15c3421c9d0
hex74a7c701c

31314440220 has 144 divisors (see below), whose sum is σ = 101118151680. Its totient is φ = 7093029888.

The previous prime is 31314440141. The next prime is 31314440221. The reversal of 31314440220 is 2204441313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31314440221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5360061 + ... + 5365899.

Almost surely, 231314440220 is an apocalyptic number.

31314440220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31314440220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50559075840).

31314440220 is an abundant number, since it is smaller than the sum of its proper divisors (69803711460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31314440220 is a wasteful number, since it uses less digits than its factorization.

31314440220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6084 (or 5969 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 31314440220 its reverse (2204441313), we get a palindrome (33518881533).

The spelling of 31314440220 in words is "thirty-one billion, three hundred fourteen million, four hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 113 140 210 226 339 420 452 565 678 791 1130 1356 1582 1695 2260 2373 3164 3390 3955 4746 5839 6780 7910 9492 11678 11865 12769 15820 17517 23356 23730 25538 29195 35034 38307 40873 47460 51076 58390 63845 70068 76614 81746 87585 89383 116780 122619 127690 153228 163492 175170 178766 191535 204365 245238 255380 268149 350340 357532 383070 408730 446915 490476 536298 613095 659807 766140 817460 893830 1072596 1226190 1319614 1340745 1787660 1979421 2452380 2639228 2681490 3299035 3958842 4618649 5362980 6598070 7917684 9237298 9897105 13196140 13855947 18474596 19794210 23093245 27711894 39588420 46186490 55423788 69279735 74558191 92372980 138559470 149116382 223674573 277118940 298232764 372790955 447349146 521907337 745581910 894698292 1043814674 1118372865 1491163820 1565722011 2087629348 2236745730 2609536685 3131444022 4473491460 5219073370 6262888044 7828610055 10438146740 15657220110 31314440220